Combustion
stability is an important consideration for many energy
systems because of its impact on performance and efficiency. Flame
dynamics that govern combustion stability are often complex and difficult
to resolve, particularly from experimental data. However, recent advances
in postprocessing techniques, such as dynamic mode decomposition (DMD),
have partially enabled flame dynamic analysis. This study aims to
provide a comprehensive measure of combustion stability through a
detailed investigation of coherent structures and their energy contents,
frequencies, and growth factors from DMD. These results are then correlated
to underlying physics and chemistry that drive flame dynamics. Three
different data sets were analyzed in this study. Numerically constructed
images and OH-planar laser induced fluorescence (OH-PLIF) images of
laminar flames were used to characterize stable flame dynamics. OH-PLIF
images of acoustically perturbed swirl-stabilized turbulent flames
were used to characterize oscillatory and unstable flame dynamics.
Acoustic perturbation at various frequencies and amplitudes were introduced
using a speaker. Dominant spatial structures and their energy contents
in the recirculation zone or shear layer were accurately resolved.
Frequencies and growth factors provided good mode-specific stability
assessment. Overall, the stability analysis is an effective technique
for analyzing flame dynamics and developing more stable combustion
systems despite complex interaction between acoustics, fluid mechanics,
and combustion.